V. Shcherban, A. Petko, Ju. Makarenko, N. Kolva, D. Egorov. Computer Implementation Of The Dichotomy Algorithm For Transcendent Equations When Determining The Thread Tension
Natural Sciences / Physics / Mechanics
Submitted on: Mar 11, 2020, 02:35:41
Description: The studies of the computer implementation of the dichotomy algorithm for determining the thread tension on technological equipment determined the values of the thread tension. It is proved that the number of guides on each specific technological machine, the radius of curvature of each guide, the angle of the thread of the guide, the angle of the radial coverage of the thread, the physic-mechanical and structural characteristics of the thread influence the magnitude of the tension of the threads. The value of the angles of the thread guides and the angles of radial coverage of the thread by the surface of the guide are determined by the geometric parameters and the design of both the filing system on the technological equipment and specific guides. Thanks to this, it became possible at the initial stage of the design of the technological process to determine the tension of the thread in front of the formation zone, depending on the geometric and structural parameters of the equipment and the physico-mechanical and structural characteristics of the thread. The increase in thread tension occurs due to friction in the contact area with the guides. The magnitude of the friction forces depends on the material of the thread and the guide, the ratio of their geometric dimensions (the radius of the cross section of the thread and the radius of curvature of the guide in the contact zone), the actual angle of the thread of the guide and the angle of the radial coverage of the thread on the surface of the guide, the physico-mechanical and structural characteristics of the thread, tension threads in front of the guide. Sequential passage of the thread along the guides, from the entrance zone to the zone of fabric formation and knitwear, leads to a stepwise increase in tension. In this case, the output tension parameter after the previous guide will be an input parameter for the subsequent guide, which allows the use of recursion in determining the tension in front of the fo...